Some Results in the Theory of Fibrations
Canadian mathematical bulletin, Tome 20 (1977) no. 3, pp. 337-345

Voir la notice de l'article provenant de la source Cambridge University Press

I wish to present here some of the results of a research in the Theory of Fibrations initiated some time ago by Peter Booth, Philip Heath, and myself. The philosophy behind the work is to approach certain aspects of the Theory of Fibrations in a unified way through the systematic use of the sections of suitable fibrations; this yields general theorems, of which some well-known results are eventually particular cases.
Piccinini, Renzo A. Some Results in the Theory of Fibrations. Canadian mathematical bulletin, Tome 20 (1977) no. 3, pp. 337-345. doi: 10.4153/CMB-1977-051-9
@article{10_4153_CMB_1977_051_9,
     author = {Piccinini, Renzo A.},
     title = {Some {Results} in the {Theory} of {Fibrations}},
     journal = {Canadian mathematical bulletin},
     pages = {337--345},
     year = {1977},
     volume = {20},
     number = {3},
     doi = {10.4153/CMB-1977-051-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-051-9/}
}
TY  - JOUR
AU  - Piccinini, Renzo A.
TI  - Some Results in the Theory of Fibrations
JO  - Canadian mathematical bulletin
PY  - 1977
SP  - 337
EP  - 345
VL  - 20
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-051-9/
DO  - 10.4153/CMB-1977-051-9
ID  - 10_4153_CMB_1977_051_9
ER  - 
%0 Journal Article
%A Piccinini, Renzo A.
%T Some Results in the Theory of Fibrations
%J Canadian mathematical bulletin
%D 1977
%P 337-345
%V 20
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-051-9/
%R 10.4153/CMB-1977-051-9
%F 10_4153_CMB_1977_051_9

[1] 1. Allaud, G., On the classification of Fiber Spaces. Math. Z. 92 (1966), 110-125. Google Scholar

[2] 2. Allaud, G., Concerning universal fibrations and a theorem of E. Fadell Duke Math. J. 37 (1970), 213-224. Google Scholar

[3] 3. Booth, P., The Exponential Law of Maps. I, Proc. London Math. Soc. 20 (1970), 179-192. Google Scholar

[4] 4. Booth, P., The Exponential Law of Maps. II. Math. Z. 121 (1971), 311-319. Google Scholar

[5] 5. Booth, P., The Section Problem and the Lifting Problem. Math. Z. 121 (1971), 273-287. Google Scholar

[6] 6. Booth, P. and Brown, R., Spaces of partial maps, fibred mapping spaces and the compact-open topology (to appear). Google Scholar

[7] 7. Booth, P., Heath, P., and Piccinini, R., Section and Base-Point Functors. Math. Z. 144 (1975), 181-184. Google Scholar

[8] 8. Booth, P., Heath, P., and Piccinini, R., Restricted Homotopy Classes (to appear). Google Scholar

[9] 9. Brown, R., Function spaces and product topologies. Quart. J. Math. Oxford Ser. (2) 15 (1964), 238-250. Google Scholar

[10] 10. Brown, R., Elements of Modern Topology. London: McGraw-Hill, 1968. Google Scholar

[11] 11. Cockcroft, W. H., and Jarvis, T., An introduction to Homotopy Theory and Duality I, Bull. Soc. Math. Belg. 16 (1964), 407-428 and 17 (1965), 3-26. Google Scholar

[12] 12. Day, B., A reflection theorem for closed categories, J. Pure Appl. Algebra 2 (1972), 1-11. Google Scholar

[13] 13. Dold, A., Partitions of Unity in the Theory of Fibrations. Ann. of Math, 78 (1963), 223-255. Google Scholar

[14] 14. Dold, A., Halbexakte Homotopiefunktoren. Lecture Notes n. 12. Berlin: Springer 1966. Google Scholar

[15] 15. Dyer, E., and Eilenberg, S., An adjunction theorem for Locally Equiconnected Spaces. Pacific J. Math. 41 (1972), 669-685. Google Scholar

[16] 16. James, I., and Thomas, E., Note on a classification of cross-sections. Topology 4 (1966), 351-359. Google Scholar

[17] 17. Hilton, P. and Stammbach, U., A course in Homological Algebra. New York, Heidelberg, Berlin: Springer 1970. Google Scholar

[18] 18. Lundell, A. and Weingram, S., The Topology of CW-complexes. New York: Van Nostrand Reinhold Co. 1969. Google Scholar

[19] 19. MacLane, S., Categories for the working mathematician. New York, Heidelberg, Berlin: Springer 1971. Google Scholar

[20] 20. Peter May, J., Classifying Spaces and Fibrations. Mem. Amer. Math. Soc. 155 (1975). Google Scholar

[21] 21. Piccinini, R., CW-complexes, Homology Theory. Queen's Papers in Pure and Appl. Math. 34, Queen's University, Kingston, 1973. Google Scholar

[22] 22. Spanier, E., Quasi-Topologies. Duke Math. J. 30 (1963), 1-14. Google Scholar

[23] 23. Spanier, E., Algebraic Topology. New York: McGraw-Hill, 1966. Google Scholar

[24] 24. Steenrod, N., A convenient category of topological spaces. Mich. Math. J. 14 (1967), 133-152. Google Scholar

[25] 25. Strøm, A., A note on cofibrations. Math. Scandinav. 19 (1966), 11-14. Google Scholar

[26] 26. Vogt, R., Convenient categories of Topological Spaces for Homotopy Theory. Arch. Math. 22 (1971), 545-555. Google Scholar

[27] 27. Wyler, O., Convenient Categories for Topology. General Topology and Appl. 3 (1972), 225-242. Google Scholar

Cité par Sources :